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Finding the Third Proportional to 8 and 14.81

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Solution

The third proportional to 8 and 14.81 is: 27.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8 : 14.81 = 14.81 : x
  2. Step 2: Convert to fraction form
    8/14.81 = 14.81/x
  3. Step 3: Cross multiply
    8x = 14.81 × 14.81
  4. Step 4: Simplify right side
    8x = 219.41
  5. Step 5: Solve for x
    x = 219.41/8
  6. Step 6: Final answer
    x = 27.43

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.